Find the Volume of the Solid Generated by Revolving the Shaded

question 14

Multiple Choice

Find the volume of the solid generated by revolving the shaded region about the given axis.
-About the $x$ -axis

$y = 16 - x ^ { 2 }$

• A) \(\frac { 13312 } { 15 } \pi\)
• B) \(\frac { 13312 } { 5 } \pi\)
• C) \(\frac { 128 } { 3 } \pi\)
• D) \(\frac { 8192 } { 15 } \pi\)

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Definitions:

Initiation

The first phase in various biological processes, such as DNA replication, transcription, and translation, where the necessary components are assembled to begin the process.

Elongation

The process of lengthening or stretching something.

Termination

The process of ending something, such as the conclusion of a biological process or the halting of a chemical reaction.

Inducible Operon

An operon that is normally inactive because a repressor molecule is attached to its operator; transcription is activated when an inducer binds to the repressor, making it incapable of binding to the operator. Compare with repressible operon.